Hello.
The solution is to write you dimensions as they truly exist and bypass
"variable" naming like "Newton".
Use (Ampere Second Kelvin)/(Kilogram Meter) and make a list of all of the
dimensions.
i.e. Permittivity (A^2 s^4 K^0)/(Kg m^3)
Sure there is some work involved but in the long run one will learn the
nature of the dimensions and supercede archaic variable dimension units.
Regards,
Jon-Paul